Course Archives Theoretical Statistics and Mathematics Unit
Course: Differential Geometry
Instructor: Aniruddha Naolekar
Room: G23
Level: Undergraduate
Time: Currently offered
Syllabus
Past Exams


Syllabus: Curves in two and three dimensions, Curvature and torsion for space curves, Existence theorem for space curves, Serret-Frenet formula for space curves, Inverse and implicit function theorems, Jacobian theorem, Surfaces in R^3 as two dimensional manifolds, Tangent space and derivative of maps between manifolds, First fundamental form, Orientation of a surface, Second fundamental form and the Gauss map, Mean curvature and scalar curvature, Integration onsurfaces, Stokes formula, Gauss-Bonnet theorem.

Reference Texts:
1. M.P. do Carmo: Differential Geometry of Curves and Surfaces.
2. A. Pressley: Elementary Differential Geometry.
3. J. A. Thorpe: Introduction to Elementary Differential Geometry.

Evaluation:
Midterm Exam 40 marks
Assignments -- marks
Final Exam 60 marks
Total 100 marks


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Past Exams
Midterm
07.pdf 08.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf
Semestral
07.pdf 09.pdf 10.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Supplementary and Back Paper
07.pdf 09.pdf 11.pdf 15.pdf 16.pdf 17.pdf

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